Find the LCM of 871, 441, 871, 799, 258 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 871, 441, 871, 799, 258. So, keep reading to learn more.
Given numbers are 871,441,871,799,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,441,871,799,258 is 26393803254.
Find LCM of 871,441,871,799,258 with Prime Factorization
3 | 871, 441, 871, 799, 258 |
13 | 871, 147, 871, 799, 86 |
67 | 67, 147, 67, 799, 86 |
1, 147, 1, 799, 86 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 67 x 1 x 147 x 1 x 799 x 86 = 26393803254
Therefore, the lowest common multiple of 871,441,871,799,258 is 26393803254.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
871 x 441 x 871 x 799 x 258 = 68967007902702
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
871 : 1, 13, 67, 871
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
871 : 1, 13, 67, 871
799 : 1, 17, 47, 799
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,441,871,799,258, is 1.
Now, the common factors can be found like this.
871:13x 67
441:3x 3x 7x 7
871:13x 67
799:17x 47
258:2x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 67 = 2613
Therefore, the value for common factors is 2613.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 68967007902702/(1x2613)
LCM = 68967007902702/2613
LCM = 26393803254
Thus, we can understand that the LCM of 871,441,871,799,258 is 26393803254.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 871, 441, 871, 799, 258?
Answer: LCM of 871, 441, 871, 799, 258 is 26393803254.
2. How to calculate the LCM of 871, 441, 871, 799, 258?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 871, 441, 871, 799, 258.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.